506419001862400 has 216 divisors, whose sum is σ = 1367575513252704. Its totient is φ = 184131101491200.

The previous prime is 506419001862353. The next prime is 506419001862407. The reversal of 506419001862400 is 4268100914605.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (506419001862407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615800287 + ... + 616622113.

Almost surely, 2^{506419001862400} is an apocalyptic number.

506419001862400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506419001862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683787756626352).

506419001862400 is an abundant number, since it is smaller than the sum of its proper divisors (861156511390304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506419001862400 is a wasteful number, since it uses less digits than its factorization.

506419001862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830617 (or 830598 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 506419001862400 in words is "five hundred six trillion, four hundred nineteen billion, one million, eight hundred sixty-two thousand, four hundred".